On a close relation between quasi-convex and convex functions and related investigations
- 1 January 1973
- journal article
- research article
- Published by Taylor & Francis in Mathematische Operationsforschung und Statistik
- Vol. 4 (3) , 201-211
- https://doi.org/10.1080/02331887308801122
Abstract
In the paper we show that if the quasi-convex function defined on an open convex set satisfies some mild restrictions then is a convex function on a convex compact subset if only C is larg e enough. We investigate specidly the casa when separable, i.e. when . Our results make possible the application of the methods of FIACCO and MCCORMICK in non-linear programming problems, where the constraints are quasi-convex.Keywords
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